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Atlas › Integer Profiles › Node 8,300,079

8,300,079

32 × 23 × 101 × 397
Deficient Odd Composite

8,300,079 factors as 3^2 × 23 × 101 × 397. Its 24 positive divisors give a proper-divisor sum of 4,365,873, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 101 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,665,952
Proper Divisor Sum 4,365,873
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8300077 ← → #8300101

Radix Representation

Decimal 8300079
Binary 11111101010011000101111 (23 bits)
Octal 0o37523057
Hexadecimal 0x7EA62F

Divisor Catalog (24)

1 3 9 23 69 101 207 303 397 909 1,191 2,323 3,573 6,969 9,131 20,907 27,393 40,097 82,179 120,291 360,873 922,231 2,766,693 8,300,079

Collatz Trajectory (261 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,300,079 24,900,238 12,450,119 37,350,358 18,675,179 56,025,538 28,012,769 84,038,308 42,019,154 21,009,577 63,028,732 31,514,366 15,757,183 47,271,550 23,635,775 70,907,326 35,453,663 106,360,990 53,180,495 159,541,486 79,770,743 239,312,230 119,656,115 358,968,346 179,484,173 538,452,520 269,226,260 134,613,130 67,306,565 201,919,696 100,959,848 50,479,924 25,239,962 12,619,981 37,859,944 18,929,972 9,464,986 4,732,493 14,197,480 7,098,740 3,549,370 1,774,685 5,324,056 2,662,028 1,331,014 665,507 1,996,522 998,261 2,994,784 1,497,392 748,696 374,348 187,174 93,587 280,762 140,381 421,144 210,572 105,286 52,643

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